Abstract
It was recently shown that taking into account the granular structure of graphene lattice, the Dirac-like dynamics of its quasiparticles resists beyond the lowest energy approximation. This can be described in terms of new phase-space variables, (X→,P→), that enjoy generalized Heisenberg algebras. In this letter, we add to that picture the important case of noncommuting X→, for which [Xi,Xj]=iθij and we find that θij=ℓ2ϵij, with ℓ the lattice spacing. We close by giving both the general recipe and a possible specific kinematic setup for the practical implementation of this approach to test noncommutative theories in tabletop analog experiments on graphene.
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